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132141133004232 = 23311793763063449
BaseRepresentation
bin11110000010111010000001…
…010010101111110111001000
3122022212120100202111121002210
4132002322001102233313020
5114310000020022113412
61145012444245025120
736555611314022262
oct3602720122576710
9568776322447083
10132141133004232
1139116815739a90
12129a1a060b51a0
135896b17346741
14248b94492ab32
15104246299c83c
hex782e814afdc8

132141133004232 has 64 divisors (see below), whose sum is σ = 360430319592000. Its totient is φ = 40037721866240.

The previous prime is 132141133004189. The next prime is 132141133004263. The reversal of 132141133004232 is 232400331141231.

It is a super-2 number, since 2×1321411330042322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141133004232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29436357 + ... + 33627092.

It is an arithmetic number, because the mean of its divisors is an integer number (5631723743625).

Almost surely, 2132141133004232 is an apocalyptic number.

132141133004232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132141133004232 is an abundant number, since it is smaller than the sum of its proper divisors (228289186587768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132141133004232 is a wasteful number, since it uses less digits than its factorization.

132141133004232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63071406 (or 63071402 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132141133004232 its reverse (232400331141231), we get a palindrome (364541464145463).

The spelling of 132141133004232 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred thirty-three million, four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 7937 15874 23811 31748 47622 63496 87307 95244 174614 190488 261921 349228 523842 698456 1047684 2095368 63063449 126126898 189190347 252253796 378380694 504507592 693697939 756761388 1387395878 1513522776 2081093817 2774791756 4162187634 5549583512 8324375268 16648750536 500534594713 1001069189426 1501603784139 2002138378852 3003207568278 4004276757704 5505880541843 6006415136556 11011761083686 12012830273112 16517641625529 22023522167372 33035283251058 44047044334744 66070566502116 132141133004232